Question

The midpoint of bar (AB) is M(-2,2). If the coordinates of A are (-8,-1), what are the coordinates of B ?

Answer 1

The coordinates of point B are (-5, 1/2).

Step-by-step explanation:

To find the coordinates of point B, we can use the midpoint formula. The midpoint formula states that the coordinates of the midpoint are equal to the average of the coordinates of the two endpoints. In this case, the x-coordinate of point M is -2 and the x-coordinate of point A is -8. So the x-coordinate of point B can be found by averaging -2 and -8, giving us (-2 + -8)/2 = -10/2 = -5.

Now, let's find the y-coordinate of point B. The y-coordinate of point M is 2 and the y-coordinate of point A is -1. So the y-coordinate of point B can be found by averaging 2 and -1, giving us (2 + -1)/2 = 1/2.

Therefore, the coordinates of point B are (-5, 1/2).